A grandfather is six times as old as his grandson. If the grandfather was 45 when his grandson was born, how old is the grandson?

Answer:

21.875%

Step-by-step explanation:

We need an equation to represent this problem,

Let x be the number of books she had before giving away 42 of them,

x - 42 = 150

To find out how many books she had before turn the problem around and add 42 with 150,

150 + 42 = x

⇒ x = 192

Now that you know that divide 42 by 192,

Let n be the quotient of 42/192

42/192 = n

⇒ n = 0.21875

Now to turn that into a percent move the decimal 2 spaces to the left,

0.21875

⇒ 2.1875

⇒ 21.875%

Therefore there was a 21.875% change.

Answer:

0.571428571429 grams per cm³

Step-by-step explanation:

density = mass/volume

Let’s calculate the volume V of the pyramid :

V = (1/3)×base×height

   = (1÷3)×(5×7)×9

   = 105 cm³

Then

The density = mass/volume

                    = 60÷105

                    = 0.571428571429

Answer: 22

Step-by-step explanation: She will have $75 To spend on drink and that can buy 75/3.29 chips

Answer:

30 stars

Step-by-step explanation:

There are 5 1/5ths in 1. So 5x6(sheets of paper) is 30. For the picture part you could draw 6 sheets of paper and divide each into five parts.

Hope this helps! :)

Answer:

Look below

Step-by-step explanation:

The digit three is in the thousands place in the number 63,297, so it represents 3,000. The digit three is in the hundreds place in the number 60,325, so it represents 300.

Answer: Last option is true,

Step-by-step explanation: All other option are false

Answer:

D

Step-by-step explanation:

Answer:

Between minutes 6 and 10

Step-by-step explanation:

Look at the slope of the line. It appears to be the same between both lines between minutes 6 and 10

Answer:

they travel at the same speed between minutes 6 and 10

Answer:

833

Step-by-step explanation:

First find the 15% of 56,105;

[tex]\frac{15}{100}[/tex] * 56,105 = x

0.15 * 56,105 = x

882 = x

Now subtract 15% of 56,105 from 56,105;

15% of 56,105 = 882

now;

56,105 - 882 = 833

Hope this helps!

Answer:

(5, -3)

Step-by-step explanation:

if x=2-y then 2-y-2y-11=0

-3y-9=0

-3y=9

y= -3

x= 2+3=5

Answer:

14:36

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the solution to the system is at the point of intersection of the 2 lines.

the lines intersect at (- 2, 1 )

then solution to system is (- 2, 1 )

Answer:

m∠QPR = 25°.

Step-by-step explanation:

If m∠QPR = 9x + 16°, substitute in 1 for 'x':. 9(1) + 16 = 9 + 16 = 25°

in how many combinations can acommittee consisting of 4 men and 3 women be chosen from 8 men and 6 women

Answer:

The answer is 4cm.

Step-by-step explanation:

Given:

Height= 15cm

The volume of the Cylindrical bottle= 753.6

They have said to use π= 3.14

We are supposed to find r.

-------------------------------------------------------------

Volume of cylinder= πr²h

now substitute teh values given in the formula..we will get:

753.6 = 3.14× r²× 15

After u solve it , you will get

r²= 16

∴r = √16= 4cm

So,  the radius of the bottle is 4cm

Hope it helps!!

Answer:

section covers somplifying algebraic expressions

Step-by-step explanation:

Answer:

A) 1/4x

Step-by-step explanation:

Cause I took the test and got it right

Answer:

I think B, C,  and F are the answers.

Step-by-step explanation:

Answer:

Option A, [tex]385.0\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the base

[tex]A = l * w[/tex]

[tex]A = 11\ ft * 11\ ft[/tex]

[tex]A = 121\ ft^2[/tex]

Step 2:  Determine the area of the triangles

[tex]A = \frac{h * b}{2}[/tex]

[tex]A = \frac{12\ ft * (11\ ft / 2)}{2}[/tex]

[tex]A = \frac{12\ ft * 5.5\ ft}{2}[/tex]

[tex]A = \frac{66\ ft^2}{2}[/tex]

[tex]A = 33\ ft^2[/tex]

There are two of these triangles per side which means that there are 8 of these triangles in total.  

[tex]33\ ft^2 * 8[/tex]

[tex]264\ ft^2[/tex]

Step 3:  Determine the surface area

[tex]SA = 121\ ft^2 + 264\ ft^2[/tex]

[tex]SA = 385\ ft^2[/tex]

Answer: Option A, [tex]385.0\ ft^2[/tex]

Step-by-step explanation:

Area750 cm² = 750 × 10^-4 m²

pressure = F/A

= 61 /(750×10^-4)

= 61 × 10⁴/750

= 0.081 × 10⁴

= 810 N/ m²

Answer:

813N/m^2

Step-by-step explanation:

Pressure is defined as the amount of force applied to an area. There are 100cm in a single meter, therefore:

[tex]750cm^2=\sqrt{750} cm\frac{1}{100} \frac{m}{cm} =\frac{\sqrt{750} }{100} m=0.075m^2[/tex]

Pressure formula is:

[tex]P=Force/Area=61N/0.075m^2=813N/m^2[/tex]

Answer:

25.7 m

Step-by-step explanation:

Semicircles are half circles that are divided at the diameter.

We want to find the semicircle arc.

To do this, just find the circumference of the circle and then divide by 2.

Circumference formula:

2rπ or Dπ

10π = 31.4

31.4 / 2 = 15.7

Now, we have to find the straight line part of the semicircle. The length of that straight line is the diameter. We already know that the diameter is 10.

Add

15.7+10 = 25.7

Step-by-step explanation:

9.

[tex] \frac{15}{x} = \frac{10}{32} \\ x = 48[/tex]

So QR = 48

10.

[tex]since \: \: \frac{9}{13.5} = \frac{12}{18} \: \: we \: have \\ \\ \frac{12}{18} = \frac{10}{x} \\ x = 15[/tex]

So QP is 15

Answer:

£6633.04

Step-by-step explanation:

Compound interest is worked out by using decimal multipliers on a calculator basically,

so,

6000 x 1.034 (because 3.4% = 0.034)

but you want it for three years so you would do

6000 x 1.034 x 1.034 x 1.034

hope that helped

Answer:

Area = 144 ft^2

Step-by-step explanation:

Remark

Use the Pythagorean theorem to find the length of the legs. Then multiply them together and divide by 2.

Equations

a^2 + a^2 = c^2

Area = (1/2) * a^2

Givens

c = 24

Solution

Remember that an isosceles triangle has 2 equal sides. Both legs of the triangle are equal to a.

a^2 + a^2 = c^2              Combine

2a^2 = 24^2                   Expand

2a^2 = 576                    Divide by 2

2a^2/2= 576/2              

a^2 = 288                      You might just as well leave this. go to area

Area = 1/2 (288)

Answer: Area = 144 ft^2

Answer:

F(x) < 6

Step-by-step explanation:

[tex]\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}[/tex]

This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6

Answer:

Milk Glass A can hold more milk.

Step-by-step explanation:

This problem mostly relies on the diameter of the milk glass.

To solve the problem, we'll find the volume of each glass as though it were a cylinder.

First, we start with the area of the base of each cylinder.

Using the formula [tex]\pi r^{2}[/tex], we can find the area of each base.

Note that r represents radius, which is half of the diameter, d.

The area of the base on Milk Glass A can be found with: [tex]\pi 1.75^2[/tex] which equals 9.62 inches squared.

The area of the base on Milk Glass B can be found with: [tex]\pi 0.75^2[/tex] which equals 1.77 inches squared.

Now that we have the area of each base, we just multiple the area by the height to get the full volume.

The volume of Milk Glass A can be found by multiplying [tex]9.62*4[/tex] which equals 38.48 cubic inches.

The volume of Milk Glass B can be found by multiplying [tex]1.77 *5[/tex] which equals 8.85 cubic inches.

Therefore, the larger answer of 38.48 cubic inches means Milk Glass A can hold more milk.

Answer:

1. BC≅DC ; AC≅EC

2. ∠BCD≅∠ACE and ∠BCA≅∠DCE

3. SAS (side angle side)

Step-by-step explanation:

Answer:

  (b)  Length = 30 feet, width = 20 feet

Step-by-step explanation:

The scale factor is applied to the drawing dimensions to find the actual dimensions.

__

  length = (6 cm) × (5 ft)/(1 cm) = 30 ft

  width = (4 cm) × (5 ft)/(1 cm) = 20 ft

_____

Additional comment

You can also write the scale factor as part of a proportion:

  5 ft : 1 cm :: x ft : 6 cm

Multiplying by 6 cm gives

  (5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above

Answer:

Step-by-step explanation:

y= -(1/2)x - 5

Answer:

Step-by-step explanation:

let's assume the quota is 1

1=the time each machine takes to fill the quota thus;

1=5hrs what about 1hr=1/5

1=6hrs what about 1hr =1/6

1=7.5hr what about 1hr =2/15

add: 1/5+1/6+2/15=1/2 reciprocate

=2hrs

Answer:

The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.

Step-by-step explanation:

The true statement about the distribution of any variable model around the mean is (D) The distribution of the variable is the same shape as the distribution of its residual

From the question, we understand that the distribution of the model is based on its mean or average value.

The above means that the upper and the lower deviations are balanced.

Hence, the true statement about the distribution of any variable model around the mean is (D)

Read more about distribution at:

https://brainly.com/question/15713806